A model is developed for predicting long‐wavelength nonuniformities in the thickness of drying latex paint films. The model includes the effects of temperature, latex particle volume fraction, surface surfactant density, bulk surfactant density, and several material and environmental factors. After the model is simplified by applying the lubrication approximation, equations for spatially independent base state solutions are derived. The base state solutions describe a drying latex paint film of uniform thickness. The equations for the base states are solved numerically and a linear stability analysis is conducted. This analysis indicates that evaporation, slow surfactant kinetics, low initial surface tension, substrate permeability, and high initial latex particle volume fractions destabilize the uniform film, while fast surfactant kinetics, high initial surface tension, and high viscosity are stabilizing. © 2017 American Institute of Chemical Engineers AIChE J, 64: 1841–1858, 2018

中文翻译：

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乳胶漆中由于蒸发机理引起的表面不均匀性

开发了一个模型来预测干燥的乳胶漆膜厚度中的长波长不均匀性。该模型包括温度，胶乳颗粒体积分数，表面活性剂密度，表面活性剂密度以及几种材料和环境因素的影响。在通过润滑近似简化了模型之后，得出了空间独立的基态解的方程式。基本状态解决方案描述了均匀厚度的干燥乳胶漆膜。对基本状态的方程进行数值求解，并进行线性稳定性分析。该分析表明，蒸发，缓慢的表面活性剂动力学，较低的初始表面张力，基材渗透率和较高的初始胶乳颗粒体积分数会破坏均匀膜的稳定性，而快速的表面活性剂动力学则 高初始表面张力和高粘度是稳定的。©2017美国化学工程师学会AIChE J，64：1841–1858，2018